Course Outline

&        Equation of tangent and normal.

&        Problems on tangent and normal.

&        Angle of intersection of the curves in cartesian and polar forms,

&        Length of tangent, normal, sub-tangent, sub-normal in cartesian and polar forms.

&        Derivative of arc length (cartesian and polar form)

&        Angle between radius vector and tangent.

&        Pedal equation of cartesian and polar curves.

Tangent at a Point

        The tangent at a point P to a given curve is defined as the limiting position of the secant PQ as a point Q tends to P along the curve.

Normal at a Point

        A normal at any point of a curve is a straight line through the point and perpendicular to the tangent at that point.

Some Important Formulae


Worked out Examples